Bhutan is about 8 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Bhutan is approximately 38,394 sq km, making Bhutan 12.22% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (1.2 million fewer people live in Bhutan).
Tip: This to-scale comparison of New Mexico vs. Bhutan uses the Mercator projection, which distorts the size of regions near the poles.